Use of logarithm in differentiating a function
Logarithm function:In mathematics, the logarithm is the That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised inverse function to e...
Derivative and its application
Derivative an its applications.
Derivative, in mathematics, the rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.
Application of derivative:
There are various applications of derivatives not only in maths and real life but also in other fields like science, engineering, physics, etc.
Application of derivative in maths:
- Rate of Change of a Quantity
- Increasing and Decreasing Functions
- Tangent and Normal to a Curve
- Minimum and Maximum Values
- Newton’s Method
- Linear Approximations
Application of derivatives in real life:
- To calculate the profit and loss in business using graphs.
- To check the temperature variation.
- To determine the speed or distance covered such as miles per hour, kilometer per hour etc.
- Derivatives are used to derive many equations in Physics.
- In the study of Seismology like to find the range of magnitudes of the earthquake.
